Summations Problem: Sum of Multiples of 5 from 5-1550

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Homework Help Overview

The problem involves summing all whole numbers that are multiples of 5 within the range of 5 to 1550. It is situated within the context of arithmetic series and summation techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the division of 1550 by 5 to determine the number of terms and explore the arithmetic progression involved in summing these multiples. There are attempts to clarify the calculations and the use of parentheses in expressions.

Discussion Status

The discussion includes various interpretations of the calculations involved. Some participants confirm the correctness of the division, while others question the arithmetic operations and the use of parentheses, indicating a mix of agreement and confusion regarding the steps taken.

Contextual Notes

There appears to be some misunderstanding regarding the arithmetic operations and the setup of the problem, particularly in how the calculations are presented and interpreted.

elainehula
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Homework Statement


Sum all the whole numbers which are multiples of 5 from 5 to 1550


Homework Equations





The Attempt at a Solution


1550÷5=310
1550-5x310= 478950
 
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elainehula said:

Homework Statement


Sum all the whole numbers which are multiples of 5 from 5 to 1550


Homework Equations





The Attempt at a Solution


1550÷5=310
1550-5x310= 478950

Hint: Sum of arithmetic progression or, alternatively,$$
\sum_{k=1}^{310}5k = 5\sum_{k=1}^{310}k$$
 
elainehula said:

Homework Statement


Sum all the whole numbers which are multiples of 5 from 5 to 1550


Homework Equations





The Attempt at a Solution


1550÷5=310
Yes, that is correct

1550-5x310= 478950
No, 1550- 5x 310= 0, That is what [tex]1550÷5= 310[/tex] means!
 
HallsofIvy said:
Yes, that is correct


No, 1550- 5x 310= 0, That is what [tex]1550÷5= 310[/tex] means!

She is using the parentheses differently (incorrectly so , by priority of operations):

1550-5=1545 , 1545x310= 474950
 

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